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%I #8 Mar 30 2012 18:57:56
%S 1,3,2,0,3,8,3,3,5,6,9,4,3,9,6,2,6,4,7,4,8,1,6,3,5,3,0,2,1,7,6,8,2,9,
%T 4,9,6,5,5,4,8,5,7,3,9,0,8,2,4,4,3,1,6,5,9,7,8,9,5,1,4,2,1,3,0,8,9,1,
%U 6,2,1,8,1,6,1,2,9,7,6,8,4,3,9,1,4,2,0,6,4,2,3,9,2,7,0,0,7,9,8
%N Decimal expansion of x>0 satisfying x^2-3*cos(x)=1.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.32038335694396264748163530217682949655...
%t a = 1; b = -3; c = 1;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.33}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198826 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 30 2011
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